Question

Triangle zap is a right triangle with right angle a and sin p=3/5. what is cos z

Answer 1

Since it's a right triangle. then:

cosz = sin(90 - z) = sinp = 3/5

Answer 2

`cos(z)=(3)/(5)`

Explanation:

we know that

In a right triangle

If
`\alpha+\beta=90\°` -------> complementary angles

then

`cos(\alpha)=sin(\beta)`

In this problem

we have that

`p+z=90\°` -------> complementary angles

so

`cos(z)=sin(p)`

`cos(z)=(3)/(5)`